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Finding the Fourth Proportional to 420,327, 630,495.90 and 139,844.34

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Solution

The fourth proportional to 420,327, 630,495.90 and 139,844.34 is: 209,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,327 : 630,495.90 = 139,844.34 : x
  2. Step 2: Convert to fraction form
    420,327/630,495.90 = 139,844.34/x
  3. Step 3: Cross multiply
    420,327x = 630,495.90 × 139,844.34
  4. Step 4: Simplify right side
    420,327x = 88,171,283,008.21
  5. Step 5: Solve for x
    x = 88,171,283,008.21/420,327
  6. Step 6: Final answer
    x = 209,768.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.